Nuprl Lemma : primed-class-opt-es-sv0
[Info,B:Type]. [es:EO+(Info)]. [X:EClass(B)]. [init:Id 
bag(B)]. [e:E].
((bag-size(init loc(e)) 
1)
(e':E. ((e' <loc e) (bag-size(X es e') 1)))
(bag-size(Prior(X)?init es e) 1))
Proof not projected
Definitions occuring in Statement :
primed-class-opt: Prior(X)?b,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-loc: loc(e),
es-E: E,
Id: Id,
uall: [x:A]. B[x],
le: A B,
all: x:A. B[x],
implies: P Q,
apply: f a,
function: x:A B[x],
natural_number: $n,
universe: Type,
bag-size: bag-size(bs),
bag: bag(T)
Definitions :
so_lambda: 
x y.t[x; y],
cand: A c
B,
squash: 
T,
true: True,
ifthenelse: if b then t else f fi ,
bfalse: ff,
btrue: tt,
so_lambda: x.t[x],
sq_exists: 
x:{A| B[x]},
outl: outl(x),
isl: isl(x),
prop: 
,
suptype: suptype(S; T),
subtype: S 
T,
do-apply: do-apply(f;x),
or: P 
Q,
and: P Q,
can-apply: can-apply(f;x),
assert: 
b,
uimplies: b supposing a,
member: t 
T,
primed-class-opt: Prior(X)?b,
implies: P Q,
all: x:A. B[x],
eclass: EClass(A[eo; e]),
so_apply: x[s1;s2],
sq_stable: SqStable(P),
false: False,
so_apply: x[s],
nat: 
,
uall: [x:A]. B[x]
Lemmas :
event-ordering+_wf,
eclass_wf,
bag_wf,
Id_wf,
primed-class-opt_wf,
es-loc_wf,
equal_wf,
false_wf,
isect_wf,
outl_wf,
isl_wf,
es-E_wf,
es-pred_wf,
event-ordering+_inc,
es-first_wf,
true_wf,
decidable__le,
le_wf,
sq_stable_from_decidable,
not_wf,
all_wf,
assert_wf,
and_wf,
sq_exists_wf,
or_wf,
es-local-pred_wf,
es-locl_wf,
es-local-pred-cases,
bool_wf,
nat_wf,
bag-size_wf,
lt_int_wf
\mforall{}[Info,B:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(B)]. \mforall{}[init:Id {}\mrightarrow{} bag(B)]. \mforall{}[e:E].
((bag-size(init loc(e)) \mleq{} 1)
{}\mRightarrow{} (\mforall{}e':E. ((e' <loc e) {}\mRightarrow{} (bag-size(X es e') \mleq{} 1)))
{}\mRightarrow{} (bag-size(Prior(X)?init es e) \mleq{} 1))
Date html generated:
2012_02_20-PM-02_52_35
Last ObjectModification:
2012_02_07-AM-11_56_59
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